Answer:
The replacement fertility rate is indeed only slightly above 2.0 births per woman for most industrialized countries (2.075 in the UK, for example), but ranges from 2.5 to 3.3 in developing countries because of higher mortality rates, especially child mortality. pls give brainlest
A 12 kg sled slides down a hill and collides inelastically with an 8 kg block at rest at the bottom of the hill (the sled and block stick together). There is no friction on the hill but the coefficient of friction on the flat ground is µ = .75. The sled and block slide for 2.5 meters along the flat ground before stopping. Calculate the following:
1. What is the frictional force between the sled & block (stuck together) and the flat
ground?
Answer:
To calculate the frictional force between the sled & block (stuck together) and the flat ground, we can use the equation:
friction = friction coefficient * normal force
The normal force is equal to the gravitational force acting on the combined mass of the sled and block, which is 12 kg + 8 kg = 20 kg. The gravitational force is equal to the mass multiplied by the acceleration due to gravity (g = 9.8 m/s^2).
So the normal force = 20 kg * 9.8 m/s^2 = 196 N
The coefficient of friction (µ) is given as 0.75. So the frictional force is:
friction = 0.75 * 196 N = 147 N
So the frictional force between the sled & block (stuck together) and the flat ground is 147 N.
Note that in calculating the normal force, we are assuming that the sled and block are moving as a single unit and therefore the force is acting on their combined mass. Also the force is calculated on the basis of friction coefficient which is given as 0.75
Answer:
Explanation:
The frictional force between the sled and block (stuck together) and the flat ground can be calculated using the formula:
friction = coefficient of friction * normal force
The normal force is the force exerted on an object perpendicular to the surface it is in contact with, and it can be calculated by using the weight of the object (mg). In this case, the weight of the sled and block (stuck together) is 12 kg + 8 kg = 20 kg. So, the normal force is 20 kg * 9.8 m/s^2 = 196 N.
Using the coefficient of friction provided (µ = .75), we can calculate the frictional force as:
friction = .75 * 196 N = 147 N.
So, the frictional force between the sled and block (stuck together) and the flat ground is 147 N.
A wave generated on a slinky has a frequency of 5 Hz and a wavelength of 0,75 m. Calculate its speed
Answer:
The speed of a wave is given by the equation:
Speed = Frequency x Wavelength
Given that the frequency of the wave is 5 Hz and the wavelength is 0.75 m, we can substitute these values into the equation:
Speed = 5 Hz x 0.75 m
Speed = 3.75 m/s
Therefore, the speed of the wave generated on the slinky is 3.75 m/s.
It's important to note that the speed of a wave depends on the properties of the medium through which it travels and not on the properties of the source of the wave.
Answer:
The speed is 3.75
Explanation:
The relationship between wavelength and frequency is described by this simple equation:
λ = v/f
wave length (T) = 0.75m
frequency (f) = 5Hz
0.75 = v / 5
0.75*5 = v
v=3.75
You throw rocks repeatedly into a lake and make waves. If you throw rocks more frequently, what happens to the waves? Why?
If you throw rocks more frequently into a lake, the waves will become more frequent and closer together. This is because throwing the rocks more frequently increases the rate of disturbance in the water, leading to more waves being created.
What is the rocks distance about?As you throw rocks more frequently into the lake, the water molecules in the lake will be disturbed more often and at a faster rate.
These disturbances create waves on the surface of the water, which are essentially the transfer of energy through the water molecules. When the rocks are thrown more frequently, more energy is added to the lake at a faster rate, which results in more waves being created.
Due to the above, the distance between the waves will decrease and the amplitude of the waves will likely be the same. This is due to the fact that the rate of disturbance is increased and therefore more energy is added to the system and the waves are created more frequently.
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what is determined by the circumference over time and dependent on the object's distance from the axis of rotation?
The circumference over time and dependent on the object's distance from the axis of rotation is known as angular speed.
What is angular speed of an object?The angular speed of an object is the rate of change of angular distance with time. The angular speed of an object is measured in radian per second and it is scalar quantity.
Mathematically, the formula for the quantity that is determined by the circumference over time and dependent on the object's distance from the axis of rotation is given as;
ω = ( θ ) / ( t )
where;
θ is the angular distancet is the time of motion of the objectω is angular speedThe formula for angular speed in terms of circumference and time of motion is given as;
ω = ( 2πr ) / ( t )
Thus, the above can be called rotational speed because it depends on the object's distance from the axis of rotation.
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What was the hypothesis of Gregor Mendel?
The Hypothesis of Gregor Mendel are:
Pairs of distinct physical components are responsible for determining each characteristic (now called genes).During the process of gamete creation, gene pairs become physically distinct from one another (Law of Segregation).There is a possibility of having two, three, or even more variants of a gene (alleles).Sometimes one allele, which is referred to as the dominant allele, can hide the expression of the other allele, which is referred to as the recessive allele.Organisms that are capable of true breeding have two copies of the same allele (homozygotes), while hybrids have two copies of alleles that are different (heterozygotes).Chance plays a role in deciding which of two members of a pair of genes will be included in a gamete (Law of Independent Assortment).GREGOR MENDEL IMPACTMendel's work with his signature peas led to the description of the rules of heredity and the invention of the phrases dominant, recessive, and discrete factor (Orel 1984), which predated the concept of gene (Pisum sativum).
Working with pea plants, Gregor Mendel uncovered the rules of heredity. He reasoned that genes must exist in pairs since each child receives a set of DNA from both parents. Mendel observed how qualities from both parents may show up in offspring, and how they would be passed down as either dominant or recessive.
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c. If the box experiences a force of 15 N to the left, along with the 20 N force acting to the right, what is the net force on the box?
According to the data given in the question the net force on the box is of 5 N.
What does net force mean?All of the forces that are applied to an object are added up to form the net force. As a consequence of the fact that it (force) is a vector and therefore that two forces with identical magnitudes and opposing directions cancel each other out, the resultant force is the total of the forces, or put another way, the net force is just the total of all the forces.
Given data :
Force on box to the left side (F1) = 15 N
Force on box to the right side (F2) = 20 N
Because both forces are in opposite direction
Hence,
Net force = F2 - F1
Net force = 20 - 15
Net force = 5 N.
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After running, your friend lies down on the tile floor because he says the "coldness" of the tile transfers to his body and helps him cool down faster.
Is his statement correct? Explain your reasoning in complete sentences. Help please thank you
Energy floating hands with a constant chill. growing desire to resist the Führer Only after he had a difficult time recovering from his push-ups.
Which scenario best exemplifies convectional heat transfer?steaming water Heat from the flame travels into the saucepan when the water boils, warming the liquid at the bottom of the pan. As the hot water rises as well as the cooled water falls to replace it, a passed through ( transmitted is produced.
How can convection efficiently move heat?Thermal energy is transferred from heated to cool places by convection. Convection is the process by which warmer portions of a gas or liquid move toward cooler areas of the same liquid or gas. Then, cooler liquid or gas replaces the heated portions that have ascended higher.
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A turntable rotates with a constant 2. 25 rad/s^2 angular acceleration. After 4. 00 s it has rotated through an angle of 60. 0 rad. What was the angular velocity of the wheel at the beginning of the 4. 00-s interval?.
The angular velocity of the wheel at the beginning of the 4 s interval is calculated as 3 rad/s.
Given that,
Angular speed of turntable = 2.25 rad/s²
Time of motion, t = 4.0 s
Angular displacement, θ = 60 rad
The wheel's angular velocity at the start of the 4 second period is computed as follows,
θ = ωi t + 1/2 α t²
where, ωi is initial angular velocity
30 = ωi (4) + 1/2 × 2.25 ×4²
4 ωi + 18 = 30
4 ωi = 12
ωi = 3 rad/s
Thus, the angular velocity of the wheel at the beginning of the 4 s time is 3 rad/s.
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If teacher shines a flashlight across a room, only the students sitting directly in line with the light beam will be able to see it. If teacher then shines the flashlight on the wall, the entire class will be able to see the spot of the light beam on the wall. Explain why.
This is because light travels in a straight line, so only the students sitting directly in line with the light beam would be able to see it. When the flashlight is shone on the wall, the light reflects off the wall and spreads out, so everyone in the room is able to see the spot of light.
What is light beam?Light beam is a type of electromagnetic radiation that travels in a straight line. It is composed of tiny particles called photons, which carry energy and move at the speed of light. Light beams can be generated from sources such as the sun, flashlights, lasers, and other light-emitting devices. Light beams typically have a narrow diameter and can be focused in a specific direction to create very intense light. Light beams can also be used to transmit information, such as in fiber-optic cables. Light beams are used in a variety of applications, including photography, astronomy, communications, and medicine.
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An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4. 00 s. How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in part (a)?.
Time of 6.667 seconds is required for the fan to come to rest at constant angular acceleration.
What is angular velocity?Rotational velocity, sometimes referred to as angular frequency vector, is a pseudovector that depicts how quickly an object's angular position or orientation varies over time and is termed as angular velocity.
To find:
now we know that[tex]w= 0\frac{rev}{s}[/tex] ,[tex]w0\frac{25}{3 \ }\frac{rev}{s}[/tex] and α = [tex]\frac{5}{4}\frac{rev}{8^{2} }[/tex]
t= 0-25/3 whole upon -5/4
t= 6.667s
Hence, time of 6.667 seconds is required for the fan to come to rest at constant angular acceleration.
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The complete question is :
An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4.00 s.
(a) Find the angular acceleration in rev/s^2 and the number of revolutions made by the motor in the 4.00-s interval.
(b) How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in part (a)?
Ethan is 1. 85 meters tall. At 10 a. M. , he measures the length of a tree's shadow to be 28. 45 meters. He stands 24. 3 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Ethan is 1. 85 meters tall. At 10 a. M. , he measures the length of a tree's shadow to be 28. 45 meters. He stands 24. 3 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. the height of the tree to the nearest hundredth of a meter is 12.68 meters
As a result, using the definition of proportion,
Tree: ethan = ethan shadow: Tree shadow
If you replace all the values, you get;
x / 1.85 = 28.45 / (28.45 - 24.3)
x / 1.85 = 28.45 / 4.15
x = 1.85*28.45 / 4.15
x = 12.68 m (rounded)
Consequently, the tree's height will be;
12.68 meters
Your question is incomplete but most probably your full question attached below
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Starts at rest at 3m to the right after 10s he is traveling 2m/s to the left where does he end up
According to the given statement He ends up 100m to the left of its starting point.
What is acceleration and give explanation for above questions?Acceleration is the rate of change of velocity over time, or the change in speed and direction of an object. It can be measured in meters per second squared (m/s²).
He starts at rest 3 meters to the right, and after 10 seconds it is traveling 2 meters per second to the left.
To find out where he ends up, we can use the equation for distance: distance = initial velocity x time + (1/2) x acceleration x time^2.
Since the he starts at rest, its initial velocity is 0 m/s. he is moving to the left, so its acceleration is -2 m/s^2 (negative because he is moving in the opposite direction).
Therefore, the distance he travels :
-distance = 0 x 10s + (1/2) x (-2 m/s^2) x (10s)^2
-distance = -100m
So he ends up 100m to the left of its starting point.
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An object of mass m is at rest at the origin at time t=0. At that time, a force f=at2 (where a is a positive constant and f is in newtons when t is in seconds) is applied to the object. After 2s, the velocity of the object in m/s will be.
An object of mass m is at rest at the origin at time t = 0. After 2 s, the velocity of the object in m/s will be 8a/3m.
Given that, F(t) = a t² ---(1)
We know that, F(t) = m a(t)
m a(t) can also be written as m dv/dt
m a(t) = m dv/dt ---(2)
(as we know, acceleration is the rate of change of velocity)
Equating (1) and (2), we have,
m dv/dt = a t²
m dv = a t² dt
dv = a/m t² dt
Integrating on both sides, we have,
∫ dv = a/m ∫ t² dt
v = a/m (t³/3)
At t = 2 s, we have velocity v as v = a/m (8/3) = 8a/3m
Thus, the required velocity of the object of mass m after 2 s is calculated to be 8a/3m.
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An aerobatic airplane pilot experiences
weightlessness as she passes over the top of
a loop-the-loop maneuver.
The acceleration of gravity is 9.8 m/s^2
If her speed is 280 m/s at this time, find the
radius of the loop.
Answer in units of km.
For weightless object, gravity is equal to centripetal acceleration. The radius of the loop is calculated as 8 km.
What is centripetal acceleration?The property of the motion of an object traversing a circular path is known as centripetal acceleration. Any object that is moving in circle and has an acceleration vector pointed towards center of that circle is Centripetal acceleration.
As Centripetal Acceleration formula is;
a = v²/r
Given, V- velocity = 280 m/s
And we know that for weightless object,
Gravity = centripetal acceleration
So, a = g
given, g =9.8 m/s²
So,9.8 = 280²/r
r= 8000 m
Radius of the loop = 8 km
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Please answer by 8 pm!!! Thank you so much!!
Answer:
c) 3
Explanation:
Answer:
c) 3
Explanation:
through process of elimination we can find the correct row
-Row 1 says blood cells, however the picture includes lungs so we eliminate that option
-Row 2 says absorption for the first image but once again that shouldn't include lungs
-Row 4 is very obvious that it is wrong because coordination has nothing to do with the intestines
which only leaves answer c
5) Calculate the moment caused by a 2 kg mass placed at a distance of 0.5 m to the left of the pivot. Is this
moment clockwise, or anti-clockwise? (2 marks)
The moment caused by the 2 kg mass placed at a distance of 0.5 m to the left of the pivot is 1 kg m. This moment is anticlockwise.
What is moment ?Moment is a physical parameter equal to the product of the distance or displacement and another physical quantity such as mass, force etc.
For a mass of 2 kg and distance of 0.5 m the moment is :
moment = mass × distance
= 2 × 0.5 = 1 kg m
If we are taking the moment of force, then it the product of the distance and force acting on the body is taken.
force = mg
F = 2 kg × 9.8 m/s² = 19.6 N
then moment of force = 19.6 N × 0.5 m = 9.8 N
The moment from left to right in direction is anticlockwise.
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How does weathering and erosion work together to shape the earth
Answer:
is d
Explanation:
A block with the mass of 14.26kg is sliding down a ramp with an incline of 41 degrees at 2.361 m/s^2. WHat is the coefficient of kinetic friction?
Answer:
To calculate the coefficient of kinetic friction between the block and the ramp, you would need to know the force of kinetic friction acting on the block as it slides down the ramp.
This force can be determined using the equation:
F_friction = friction_coefficient * F_norm
where F_friction is the force of kinetic friction, friction_coefficient is the coefficient of kinetic friction, and F_norm is the normal force acting on the block.
The normal force, F_norm, is equal to the weight of the block, which is the force of gravity acting on the block. This can be calculated using the equation:
F_norm = m * g * cos(theta)
where m is the mass of the block, g is the acceleration due to gravity (approximately 9.8 m/s^2), and theta is the angle of incline of the ramp.
In this case, we know the following values:
mass: 14.26 kg
angle of incline: 41 degrees
velocity: 2.361 m/s^2
By using the law of Kinetic Friction force = friction coefficient * Normal force,
friction_coefficient = F_friction / F_norm
You can then solve for the coefficient of kinetic friction by measuring the force of friction. or by measuring the acceleration of the block and using the equations of motion.
Uday Tahlan
Help please thank you
Answer: Sun
Explanation:
Pretty sure it's the sun because the others can't generate electrical energy
Jakku has half the density of earth and 1/3 the radius. What is the ratio of the acceleration due on gravity on Jakku to that of Earth’s? (Hint: density= p= m/v)
The two masses of the Jakku and earth are of no use. The ratio of their acceleration due on gravity is 9 : 1
What is Gravitational Field Strength ?Gravitational Field strength can be defined as the ratio of gravitational force to unit mass.
Given that Jakku has half the density of earth and 1/3 the radius. What is the ratio of the acceleration due on gravity on Jakku to that of Earth’s?
The acceleration due on gravity is the same as gravitational Field strength. That is,
g = GM/r²
The gravitational Field strength of Jakku of radius r/3 will be
g = GM/(r/3)²
g = GM/(r²/9)
g = 9GM/r²
The gravitational Field strength of earth of radius r will be
g = GM/r²
The mass M is the mass of the sun. The ratio of the acceleration due to gravity on Jakku to that of Earth’s will be
9GM/r² ÷ GM/r²
9/1 or 9 : 1
Therefore, the ratio of the acceleration due to gravity on Jakku to that of Earth’s is 9 : 1
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A device that uses electrical energy as it interferes with the flow of charge is a:
A. Conductor
B. Insulator
C. Reactor
D. Blocker
A device that uses electrical energy as it interferes with the flow of charge is a Reactor. Hence, option (C) is correct.
What is Reactor?Reactance is the resistance to current flow in an AC circuit. A coil connected in series between two points in a power system is referred to as a reactor, also known as a line reactor, in order to reduce inrush current, voltage notching effects, and voltage spikes.
To adjust for a change in the load that the motor is starting, reactors can be tapped to vary the voltage across them. Ohms of impedance at a specific frequency and current are used to rate reactors.
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HELP PLEASE HELP PLEASE HELP PLEASE
particles q1=+18.1uC, q2=-11.2uC, and q3=+5.67uC are in a line. particles q1 and q2 are separated by 0.280m and particles q2 and q3 are separated 0.350m. what is the net force on particle q2?
The net electric force on particle q2 is 27.81 N.
What is the net force on the particle q2?The net force on the particle q2 is calculated by applying Coulomb's law of electrostatic force.
The force on particle q1 due to particle q2 is calculated as;
F ( 12 ) = kq₁q₂/r²
where;
q1 is the charge of particle 1q2 is the charge of particle 2r is the distance between particle 1 and 2k is Coulomb's constantF ( 12 ) = ( 9 x 10⁹ x 18 x 10⁻⁶ x 11.2 x 10⁻⁶ ) / ( 0.28² )
F ( 12 ) = 23.14 N
The force on particle q3 due to particle q2 is calculated as;
F (23) = kq₃q₂/r²
F (23) = (9 x 10⁹ x 5.67 x 10⁻⁶ x 11.2 x 10⁻⁶)/(0.35²)
F (23) = 4.67 N
The net electric force on particle q2 is calculated as follows;
F (net) = 23.14 N + 4.67 N
F (net) = 27.81 N
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1. write true or false
Centrifuge works on centripetal force
b. separating funnel is used to separate blood cells from blood samples
c. Rotors are used in physical separation of a solid and a liquid.
d. Centrifuge is used to separate suspended particles from suspension
e. Milk and water are separated by using separating funnel
f. The role of condenser is connected to hot water supply
Answer:
a
true
true
true
true
true
true
true
49. A car traveled during two third of the total time with a peed of 10 m /. The car' average peed during the total time i 15 m /. What i the peed of the car in the remaining one third of the time?
The speed of the car in the remaining one third of the time is 25 m/sec.
The speed of the car during two-third(2t/3) of the total time= 10 m/sec
Average speed of the car during the entire journey = 15 m/sec
Let the total time taken by the car during the entire journey = t sec.
Average speed of an object is defined as the ratio of the total distance and the total time taken by the object during the entire journey.
Average speed = total distance/total time
Total distance = Average speed of the object × total time taken by the object
Total distance = 15×t = 15t
Distance covered during the 2t/3 time = 10×2t/3 = 20t/3
Remaining distance = 15t - 20t/3
= 25t/3
Remaining time = t- 2t/3 = t/3
So the speed during the remaining journey = (25t/3)/(t/3)
= 25 m/sec.
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A 0.2 kg ball is caught in a 0.5 kg glove. The ball had been moving at 8.0 m/s and it required 5.0 N of force to stop it. What was the force on the glove?
The force on the glove is 12.8 N.
Solving for the force on the glove:
The force on the glove is equal to the impulse (change in momentum) experienced by the ball divided by the time over which the force was applied.
Impulse = force x time
= 5.0 N x (1/8.0 m/s)
Impulse = 0.625 Ns
The change in momentum of the ball ΔP is
ΔP = m x v
where,
m = is the mass of the ball
v= its velocity
Momentum = mass x velocity
= 0.2 kg x 8.0 m/s
Momentum= 1.6 kg m/s
The force on the glove is equal to the change in momentum divided by the time over which the force was applied:
Force = change in momentum/time
= 1.6 kg m/s
(1/8.0 m/s)
Force = 12.8 N
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!PLEASE HELP! 35 POINTS!
Answer the following questions in complete sentences.
A student secures a picture frame to a wall using a screw.
Part A: In terms of force, direction, and distance, explain how the screw makes the student's work easier.
Part B: Describe a change to this screw design that would make this student’s work even easier.
Answer:
Explanation:
A: Screws are a simple machine that make doing work easier.
Work = W = Fd
F = W/d
So by increasing distance (d), you decrease the amount Force needed to do the work.
By applying a small rotational force (circular direction) on the screw, the axial force is amplified. It takes less force to turn a screw around than to drive a nail straight into the wall.
B: To make the job even easier, choose a screw with a "finer" thread. The smaller the pitch (the distance between the screw's threads), the greater the mechanical advantage (the ratio of output to input force).
Part A: The screw makes the student's work easier by providing a force that is directed downwards into the wall, allowing the student to secure the picture frame in place with a relatively small distance of travel.
What is force?Force is a physical quantity that is defined as the product of mass and acceleration. It is a vector quantity, meaning it has both magnitude and direction. Force is one of the fundamental concepts of physics and is responsible for the motion of objects. It is also responsible for the interaction between objects, such as the force of gravity that keeps the planets in orbit around the sun. Force can be applied to objects in order to cause them to move, accelerate, decelerate, or change direction. Force can also be used to do work, such as lifting a weight or pushing a car. Force is an important concept in physics and is used to explain many phenomena in the natural world.
Part B: A change to the screw design that would make the student's work even easier would be to use a self-tapping screw, which has a sharp point that allows it to cut its own thread into the wall, eliminating the need to pre-drill a hole. This would reduce the amount of effort required to secure the picture frame to the wall.
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Which object(s) formed last in our solar system?the sunthe solar nebulathe inner planetsthe planetesimals.
The planetesimals, which are small bodies that eventually formed into larger objects such as planets, are believed to have formed last in our solar system.
Our solar system formed around 4.6 billion years ago from a cloud of gas and dust, known as the solar nebula. The sun formed first from the dense, hot center of the nebula. As the sun formed, it began to emit heat and radiation, which caused the remaining gas and dust to begin to condense and form into small objects known as planetesimals.
As these planetesimals collided and merged, they grew larger and larger, eventually forming the inner planets, such as Mercury, Venus, Earth, and Mars. The outer planets, such as Jupiter and Saturn, also formed from the collision and merger of planetesimals, but they formed later in the process.
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Your question seems incomplete, but I assume the question was:
"Which object(s) formed last in our solar system?
the sun
the solar nebula
the inner planets
the planetesimals."
As the first five elements in group 15 are considered in order of increasing atomic number.
As the atomic number of group 15 elements increases, the first ionization energy drops/decrease. (option 1).
The energy needed to remove one electron from an atom is known as the ionization energy.
The members of the group 15 are N, P, As, Sb, Bi, and Mc.
The initial ionization energy is the force required to expel an electron from a neutral atom in the gaseous state. The general electron configuration for the valence shell of the elements in group 15 is ns² np³, where n is the primary quantum number (the same number of the row in which the element is).
As you move lower in the group, n rises, the valence electrons are farther from the nucleus, which means that their attraction to the nucleus is diminished. As a result, as you move down in the group, the electrons will be more readily removed, requiring less energy to do so.
This enables you to forecast the following arrangement in the initial ionization energies:
N > P > As > Sb > Bi > Mc
The question is incomplete, it should be:
As the first five elements in group 15 are considered in order of increasing atomic number, first ionization energy
(1) decreases
(2) increases
(3) decreases, then increases
(4) increases, then decreases
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A football punter wants to kick the ball so that it is in the air for 3.6 s and lands 50 m from where it was kicked. Assume that the ball leaves 1.0 m above the ground.
At what angle should the ball be kicked?
With what initial speed should the ball be kicked?
Answer:
H = Vy t - 1/2 g t^2 height after time t
Vy t = H + 1/2 g t^2
Vy = H / t + 1/2 g t
Vy = -1 / 3.6 + 4.9 * 3.6 = 17.4 m/s initial vertical speed
Vx = 50 / 3.6 = 13.9 m/s
tan θ = 17.4 / 13.9 = 1.25 θ = 51.4 deg
Ball should be kicked at 51.4 deg
V = (17.4^2 + 13.9^2)^1/2 = 22.3 m/s initial speed
As a check use range formula
R = 22.3^2 sin 102.8 / 9.80 = 49.5 m
That is slightly less than 50m as it should be since its height would be zero after being given the initial speed